A Riemann-Hilbert problem for the finite-genus solutions of the KdV equation and its numerical solution

DOI10.1016/j.physd.2013.01.018zbMath1278.37050OpenAlexW1986558704MaRDI QIDQ387335

Thomas Trogdon, Bernard Deconinck

Publication date: 23 December 2013

Published in: Physica D (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.physd.2013.01.018

zbMATH Keywords

Riemann surfacesKorteweg-de Vries equationRiemann-Hilbert problemsnumerical analysisfinite-genus solutions

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10)

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Uses Software

• DLMF

Cites Work

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